Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560dt |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2143296000000 = 212 · 32 · 56 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20345,1107975] |
[a1,a2,a3,a4,a6] |
j |
227383105214656/523265625 |
j-invariant |
L |
4.9556537495332 |
L(r)(E,1)/r! |
Ω |
0.82594229191282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58560cs2 29280f1 |
Quadratic twists by: -4 8 |